![]() ![]() And more importantly, these base angles are congruent. The base angles are the two angles formed between the legs of the triangle and the non-congruent side. Well, if a triangle has exactly two congruent sides, then the base angles are congruent. Now if we remember from when we learned to classify triangles, a triangle is isosceles if two sides of a triangle are congruent.Īnd just as we have two equal legs, an isosceles triangle has two equal legs (sides), as Math is Fun nicely points out. And right triangles, isosceles triangles, and equilateral triangles can work together to prove congruence and help us solve for missing sides and angles of triangles. In other words, with right triangles we change our congruency statement to reflect that one of our congruent sides is indeed the hypotenuse of the triangle.Īnd with the last piece of the congruency puzzle finally unearthed we are going to combine our knowledge of triangle congruence with our understanding of both Isosceles Triangles and Equilateral Triangles.īecause right triangles are not the only types of triangles that have special properties – Isosceles and Equilateral Triangles are both pretty special. Now, at first glance, it looks like we are going against our cardinal rule of not allowing side-side-angle…which spells the “bad word” (i.e., the reverse of SSA).īut thanks to the Pythagorean Theorem, and our ability to find the measure of the third angle, we can conclude that for right triangles only, this type of congruence is acceptable. Using the image above, if segment AB is congruent to segment FE and segment BC is congruent to segment ED, then triangle CAB is congruent to triangle DFE. ![]()
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